A sector OAB has radius 6 cm and perimeter 30 cm, including the two radii. Its angle is $\theta$ r

Question

A sector OAB has radius 6 cm and perimeter 30 cm, including the two radii. Its angle is $\theta$ radians. The diagram is not to scale. Express $180^\circ$ in radians.[1] Find $\theta$, and hence find the area of the sector.[3]

Accepted Answer

(a) $\pi$ radians (b) $\theta=3$, area $54\text{ cm}^2$

Recovering a sector angle

Recovering a sector angle

Solution:

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